10120212211100 has 36 divisors (see below), whose sum is σ = 22074647382144. Its totient is φ = 4027110343680.

The previous prime is 10120212211013. The next prime is 10120212211111. The reversal of 10120212211100 is 111221202101.

10120212211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262162364 + ... + 262200963.

It is an arithmetic number, because the mean of its divisors is an integer number (613184649504).

Almost surely, 2^{10120212211100} is an apocalyptic number.

10120212211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120212211100 is an abundant number, since it is smaller than the sum of its proper divisors (11954435171044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10120212211100 is a wasteful number, since it uses less digits than its factorization.

10120212211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524363534 (or 524363527 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120212211100 its reverse (111221202101), we get a palindrome (10231433413201).

The spelling of 10120212211100 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, two hundred eleven thousand, one hundred".